Abstract
A dislocation kinetic model of the formation and propagation of plastic shock waves in nanocrystalline materials (with a grain size of 1–100 nm) at pressures ranging from 1 to 50 GPa has been discussed theoretically. The model is based on a nonlinear equation of the reaction-diffusion type for the dislocation density, which includes the processes of multiplication, annihilation, and diffusion of dislocations with a strong absorption of the dislocations by nanograin boundaries. The solution of this equation is obtained in the form of a traveling dislocation density wave propagating with a constant velocity. The dependences of the dislocation density and dislocation front width on the nanograin size and pressure in the wave are determined. A comparison of the obtained dependences with the available results of the experiments and molecular dynamics simulations of shock-deformed nanocrystalline materials demonstrates their good quantitative agreement.
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Original Russian Text © G.A. Malygin, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 5, pp. 955–960.
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Malygin, G.A. A dislocation kinetic model of the dislocation structure formation in a nanocrystalline material under intense shock wave propagation. Phys. Solid State 57, 967–973 (2015). https://doi.org/10.1134/S1063783415050212
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DOI: https://doi.org/10.1134/S1063783415050212